SaiBook.us Geometry

Lesson Example Discussion Quiz: Class Homework

Example

Title: Area of Rectangle

Grade: 6-a Lesson: S1-L6

Explanation: The best way to understand geometry is by looking at some examples. Take turns and read each example for easy understanding.

Examples:

A rectangle has a length of 16 cm and a width of 4 cm. A square and a rectangle have the same area. Find the length of the square’s side.

Step 1a

Given that the length and width of a rectangle are 16 cm and 4 cm.

$1a$

Explanation: Rectangle dimensions: length 16 cm , width 4 cm

Step 1b

Area of rectangle is 16 * 4 = 64 sq.cm

Here, the Area of the rectangle = Area of the square

Now, the Area of the square is 64 sq. cm

Explanation: The area of the square is 56 sq. cm since it is equal to the area of the rectangle with dimensions of

14 cm x 4 cm(56 sq.cm).

Step 1c

Now, we have to find the side length of a square is "x" by using the formula: Area of a Square = x * x

⇒ 64 = \$x^2\$

Explanation: Using the formula Area of a Square = x², we can find the side length of a square given its area.

Step 1d

Apply square root on both sides : \$\sqrt(x^2) = \sqrt(64)\$

x = 8

Explanation: To solve this equation, we need to take the square root of both sides. The equation, with the square roots applied, becomes \$\sqrt(x^2) = \sqrt(64)\$. Simplifying the equation, we get x = 8.

Step 1e

So, the length of one side of the square is 8 cm.

Explanation: The length of one side of the square is 8 cm.